Adiabatic quantum dynamics under decoherence in a controllable trapped-ion setup
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Abstract
Suppressing undesired non-unitary effects in a quantum system is a major challenge in quantum computation and quantum control. In this scenario, the investigation of the adiabatic dynamics under decoherence allows for optimal strategies in adiabatic protocols in the presence of a surrounding environment. In this work, we address this point by theoretically and experimentally analyzing the robustness of the adiabatic theorem in open quantum systems. More specifically, we derive a favorable decohering scenario to exploit the validity conditions of the adiabatic approximation as well as its sensitiveness to the resonance situation, which typically harm adiabaticity in closed systems. As illustrations, we implement both an oscillating Landau-Zener Hamiltonian and the adiabatic quantum algorithm for the Deutsch problem. Strategies to optimize fidelity and a preferred time window for these quantum evolutions are then analyzed. We experimentally realize these systems through a single trapped Ytterbium ion $^{171} $Yb$^+$, where the ion hyperfine energy levels are used as degrees of freedom of a two-level system, with both driven field and decohering strength efficiently controllable.